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67.
True, following the SOH CAH TOA method, the tangent of any given angle is the length of the side opposite it divided by the length of the side adjacent to it.
correct ... we will learn about SOH CAH TOA after the break
68.
false, once an angle surpasses the 90 degree barrier, its cosine value becomes negative
correct
69.
E, sec(90degrees) = 1/cos(90degrees) = 1/0 = empty set..... all division by 0 is undefined and is NOT a set of the real #s
correct
70.
A, following the SOH CAH TOA method, and the basic "larger angle - larger side" theorem learned in Theo Geo 10, one can deduce that angle theta is opposite the side with the length 3. The hypotenuse is the longest of the sides with a length of 5 units. The opposite (3) over the hypotenuse (5) is 3/5.
correct ... again we'll do this later.
71.
D, Perpendicular lines are opposite reciprocals and when multiplied together equal the value "-1". The reciprocal of "sin(x)" is the "csc(x)". csc(x)=1/sin(x). The opposite of csc(x) is obviously -csc(x)
correct ... very good explanation
72.
B, the graph of cosine has a range of [-1,1] therefore producing Pi (3.14159) is IMPOSSIBLE
correct